Final answer:
The function rule y = -2x - 7 does not fit the criteria for being either an even or odd function since neither y(-x) = y(x) nor y(-x) = -y(x) are true.
Step-by-step explanation:
The question asked relates to the function rule y = -2x - 7. Although the question mentions the concept of even and odd functions, there isn't a direct connection made to the given function. To complete the remainder of the question, let's address how to determine if a function is even or odd, which seems to be the underlying topic.
An even function is one where f(x) = f(-x) for all x in the domain, indicating symmetry about the y-axis. Alternatively, an odd function satisfies f(x) = -f(-x) and has symmetry through the origin (reflecting about both the x-axis and y-axis).
To test if function rule y = -2x - 7 is even or odd, we substitute -x for x and compare:
- If y(-x) = -2(-x) - 7 = 2x - 7, which is not the same as y(x) nor is it the opposite, hence the function is neither even nor odd.